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Finding the Fourth Proportional to 14,283.51, 19,710.50 and 7,822.97

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Solution

The fourth proportional to 14,283.51, 19,710.50 and 7,822.97 is: 10,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.51 : 19,710.50 = 7,822.97 : x
  2. Step 2: Convert to fraction form
    14,283.51/19,710.50 = 7,822.97/x
  3. Step 3: Cross multiply
    14,283.51x = 19,710.50 × 7,822.97
  4. Step 4: Simplify right side
    14,283.51x = 154,194,512.52
  5. Step 5: Solve for x
    x = 154,194,512.52/14,283.51
  6. Step 6: Final answer
    x = 10,795.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.